Wellposedness of Second Order Evolution Equations

In this paper we study a mild wellposedness notion of a second-order abstract differential equation defined in the whole line. We establish some characterizations of this property. In the first one, we define fractional spaces that contain the solution, and we extend it continuously to the natural s...

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Veröffentlicht in:	Complex analysis and operator theory 2023-04, Vol.17 (3), Article 42
Hauptverfasser:	Poblete, Felipe, Poblete, Verónica, Pozo, Juan C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Differential equations Evolution Mathematical analysis Mathematics Mathematics and Statistics Multipliers Operator Theory Operators (mathematics) Sobolev space Solution space Spectral Theory and Operators in Mathematical Physics
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